Yves Meyer - Academia.edu (original) (raw)

Papers by Yves Meyer

Wavelets and Their Applications, 1994

![Research paper thumbnail of Au-del`a des Op'erateurs Pseudo-di 'erentiels](https://a.academia-assets.com/images/blank-paper.jpg)

Skip to main content. CERN Logo CERN Document Server. Related links. CDS; Indico; Library; Bullet... more Skip to main content. CERN Logo CERN Document Server. Related links. CDS; Indico; Library; Bulletin; EDMS. Main navigation links: Search; Submit; Help; Your CDS: Your alerts; Your baskets; Your searches. login. Home &gt; Wavelets and their applications. ...

Using the dyadic decomposition of Littlewood-Paley, we find a simple condition that, when tested ... more Using the dyadic decomposition of Littlewood-Paley, we find a simple condition that, when tested on an abstract Banach space X, guarantees the exis- tence and uniqueness of a local strong solution v(t) ∈ C (0, T); X of the Cauchy problem for the Navier-Stokes equations in R3. Many examples of such Banach spaces are offered. We also prove some regularity

Abstract. Using the dyadic decomposition of Littlewood-Paley, we find a simple condition that, wh... more Abstract. Using the dyadic decomposition of Littlewood-Paley, we find a simple condition that, when tested on an abstract Banach space X, guarantees the exis- tence and uniqueness of a local strong solution v(t) ∈ C [0

Lecture Notes in Mathematics, 1989

Sans rsum

$Research paper thumbnail of Detection of changes in the fractal scaling of heart rate and speed in a marathon race$

The aim of this study was to detect changes in the fractal scaling behavior of heart rate and spe... more The aim of this study was to detect changes in the fractal scaling behavior of heart rate and speed fluctuations when the average runner's speed decreased with fatigue. Scaling analysis in heart rate (HR) and speed (S) dynamics of marathon runners was performed using the detrended fluctuation analysis (DFA) and the wavelet based structure function. We considered both: the short-range (α 1 ) and the long-range (α 2 ) scaling exponents for the DFA method separated by a change-point, n 0 = 64 = 5.3 min (box length), the same for all the races. The variability of HR and S decreased in the second part of the marathon race, while the cardiac cost time series (i.e. the number of cardiac beats per meter) increased due to the decreasing speed behavior. The scaling exponents α 1 and α 2 of HR and α 1 of S, increased during the race (p < 0.01) as did the HR wavelet scaling exponent (τ ). These findings provide evidence of the significant effect of fatigue induced by long exercise on the heart rate and speed variability.

Abstract of library (we can think of a library as a musical instrument, ie the recipe used to gen... more Abstract of library (we can think of a library as a musical instrument, ie the recipe used to generate all the waveforms, notes, in the library). Figure 1 The first 1024 samples (1 8 second) of the word armadillo, are plotted on the top part. The library of local sine ...

Memoirs of the American Mathematical Society, 1996

... problems: Finding the potential from nodal lines, 1996 571 Henry L. Kurland, Intersection pai... more ... problems: Finding the potential from nodal lines, 1996 571 Henry L. Kurland, Intersection pairings on Conley indices, 1996 570 Bernold Fiedler and ... Another substitute for condition (0.1) had been introduced by Calde-ron and Zygmund ([7]) and is defined as follows: A function ...

Journal of Functional Analysis, 1991

Journal of Functional Analysis, 1985

... SOME NEW FUNCTION SPACES 331 The proof proceeds by induction on k and a reduction via Theorem... more ... SOME NEW FUNCTION SPACES 331 The proof proceeds by induction on k and a reduction via Theorem 5 from k to Al ... PROPOSITION 7. Suppose a is bounded; then u(x, t) = H,(aH,(a H,(a)) satisfies the condition (9.2) of Theorem 5. We start by observing that H,=(IP,)H, where H ...